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Finding the Fourth Proportional to 9,420.34, 13,000.06 and 5,228.58

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Solution

The fourth proportional to 9,420.34, 13,000.06 and 5,228.58 is: 7,215.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,420.34 : 13,000.06 = 5,228.58 : x
  2. Step 2: Convert to fraction form
    9,420.34/13,000.06 = 5,228.58/x
  3. Step 3: Cross multiply
    9,420.34x = 13,000.06 × 5,228.58
  4. Step 4: Simplify right side
    9,420.34x = 67,971,853.71
  5. Step 5: Solve for x
    x = 67,971,853.71/9,420.34
  6. Step 6: Final answer
    x = 7,215.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.